Gluon mass and freezing of the QCD coupling

Abstract

Infrared finite solutions for the gluon propagator of pure QCD are obtained from the gauge-invariant non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions may be fitted using a massive propagator, with the special characteristic that the effective mass employed drops asymptotically as the inverse square of the momentum transfer, in agreement with general operator-product expansion arguments. Due to the presence of the dynamical gluon mass the strong effective charge extracted from these solutions freezes at a finite value, giving rise to an infrared fixed point for QCD.

3 pages, 2 figures, based on talk given at the 2007 Europhysics Conference on High Energy Physics, Manchester, 19-25 July

References in corpus (5)

• Gluon mass generation in the PT-BFM scheme
• The Pinch Technique to All Orders
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Pinch technique self-energies and vertices to all orders in perturbation theory

Cited by in corpus (5)

• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Non-perturbative comparison of QCD effective charges
• Indirect determination of the Kugo-Ojima function from lattice data
• Non-perturbative fixed points and renormalization group improved effective potential
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model